Chapter 6.2, Problem 3E

For the simplex tableau in Problems 1-4,

(A) Identify the basic and nonbasic variables.

(B) Find the corresponding basic feasible solution.

(C) determine whether the optimal solution has been found, an additional pivot is required, or the problem has no optimal solution.

$\begin{array}{l}{x}_1{x}_2{x}_3{s}_1{s}_2{s}_{3}P\\ \left[\begin{array}{cccccccc}-2& 0& 1& 3& 1& 0& 0& 5\\ 0& 1& 0& -2& 0& 0& 0& 15\\ -1& 0& 0& 4& 1& 1& 0& 12\\ -4& 0& 0& 2& 4& 0& 1& 45\end{array}\right]\end{array}$